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10303991376 = 2437895872
BaseRepresentation
bin10011001100010101…
…00110111001010000
3222121002202222220020
421212022212321100
5132100310211001
64422242143440
7513225324120
oct114612467120
928532688806
1010303991376
114408375258
121bb6951b80
13c82984c23
146da694c80
15404909736
hex2662a6e50

10303991376 has 120 divisors (see below), whose sum is σ = 30815616960. Its totient is φ = 2905959936.

The previous prime is 10303991359. The next prime is 10303991377. The reversal of 10303991376 is 67319930301.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10303991377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17553355 + ... + 17553941.

It is an arithmetic number, because the mean of its divisors is an integer number (256796808).

Almost surely, 210303991376 is an apocalyptic number.

10303991376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10303991376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15407808480).

10303991376 is an abundant number, since it is smaller than the sum of its proper divisors (20511625584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10303991376 is an frugal number, since it uses more digits than its factorization.

10303991376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 42.

The spelling of 10303991376 in words is "ten billion, three hundred three million, nine hundred ninety-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 89 112 168 178 267 336 356 534 587 623 712 1068 1174 1246 1424 1761 1869 2136 2348 2492 3522 3738 4109 4272 4696 4984 7044 7476 8218 9392 9968 12327 14088 14952 16436 24654 28176 29904 32872 49308 52243 65744 98616 104486 156729 197232 208972 313458 344569 365701 417944 626916 689138 731402 835888 1033707 1097103 1253832 1378276 1462804 2067414 2194206 2411983 2507664 2756552 2925608 4134828 4388412 4823966 5513104 5851216 7235949 8269656 8776824 9647932 14471898 16539312 17553648 19295864 28943796 30666641 38591728 57887592 61333282 91999923 115775184 122666564 183999846 214666487 245333128 367999692 429332974 490666256 643999461 735999384 858665948 1287998922 1471998768 1717331896 2575997844 3434663792 5151995688 10303991376